Results 31 to 40 of about 110 (85)

Numerical Study of a Nonlocal Nonlinear Schrödinger Equation (MMT Model)

Studies in Applied Mathematics, Volume 156, Issue 3, March 2026.
ABSTRACT In this paper, we study a nonlocal nonlinear Schrödinger equation (MMT model). We investigate the effect of the nonlocal operator appearing in the nonlinearity on the long‐term behavior of solutions, and we identify the conditions under which the solutions of the Cauchy problem associated with this equation are bounded globally in time in the ...
Amin Esfahani, Gulcin M. Muslu
wiley   +1 more source

Stability Results for Higher Order Solutions of Damped Wave Equations With Generalized Hartree‐Type Nonlinearity in Rn

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we investigate the dynamics of higher‐order solutions for a class of damped wave equations posed in Rn and driven by a nonlocal cubic convolution source of Hartree type. The model incorporates a higher order Laplacian of order σ, spatially dependent density functions, and frictional damping mechanisms.
Khaled Zennir, Keltoum Bouhali, Amal Alhujaylan, Abdelfateh Beghriche, Huaiqin Wu   +4 more
wiley   +1 more source

Normalized solutions of the critical Schrödinger–Bopp–Podolsky system with logarithmic nonlinearity

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract In this paper, we study the following critical Schrödinger–Bopp–Podolsky system driven by the p$p$‐Laplace operator and a logarithmic nonlinearity: −Δpu+V(εx)|u|p−2u+κϕu=λ|u|p−2u+ϑ|u|p−2ulog|u|p+|u|p*−2uinR3,−Δϕ+a2Δ2ϕ=4π2u2inR3.$$\begin{equation*} {\begin{cases} -\Delta _p u+\mathcal {V}(\varepsilon x)|u|^{p-2}u+\kappa \phi u=\lambda |u|^{p-2 ...
Sihua Liang, Xueqi Sun, Shuaishuai Liang, Vicenţiu D. Rădulescu   +3 more
wiley   +1 more source

Holomorphic field theories and higher algebra

Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 2903-2974, October 2025.
Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
wiley   +1 more source

Brezis–Nirenberg type results for the anisotropic p$p$‐Laplacian

Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.
Abstract In this paper, we consider a quasilinear elliptic and critical problem with Dirichlet boundary conditions in presence of the anisotropic p$p$‐Laplacian. The critical exponent is the usual p★$p^{\star }$ such that the embedding W01,p(Ω)⊂Lp★(Ω)$W^{1,p}_{0}(\Omega) \subset L^{p^{\star }}(\Omega)$ is not compact.
Stefano Biagi, Francesco Esposito, Alberto Roncoroni, Eugenio Vecchi   +3 more
wiley   +1 more source

Creating Controversy in Proxy Voting Advice

The Journal of Finance, Volume 80, Issue 4, Page 2303-2354, August 2025.
ABSTRACT We analyze how a profit‐maximizing proxy advisor designs vote recommendations and research reports. The advisor benefits from producing informative, unbiased reports, but only partially informative recommendations, biased against the a priori likely alternative.
ANDREY MALENKO, NADYA MALENKO, CHESTER SPATT   +2 more
wiley   +1 more source

A Study on The Existence And Multiplicity Of Solutions To Some Elliptic PDEs Involving Singularity

, 2021
This thesis illuminates on the study of some elliptic partial differential equations (PDEs) involving singularity and measure data or a power non-linearity. The thesis emphasises mostly on the non-local PDEs. The main objective is to obtain the existence,
Ghosh, Sekhar
core  

Multiplicity of solutions for critical singular problems [PDF]

, 2006
In this work we deal with the class of critical singular quasilinear elliptic problems in RN of the form (P)−div(|x|−ap|∇u|p−2∇u)=α|x|−bq|u|q−2u+β|x|−drk|u|r−2ux∈RN, where ...
Carrião, Paulo Cesar, Miyagaki, Olimpio Hiroshi, Assunção, Ronaldo B.   +2 more
core   +1 more source

Uniqueness of the blow‐down limit for a triple junction problem

Communications on Pure and Applied Mathematics, Volume 78, Issue 2, Page 500-534, February 2025.
Abstract We prove the uniqueness of L1$L^1$ blow‐down limit at infinity for an entire minimizing solution u:R2→R2$u:\mathbb {R}^2\rightarrow \mathbb {R}^2$ of a planar Allen–Cahn system with a triple‐well potential. Consequently, u$u$ can be approximated by a triple junction map at infinity.
Zhiyuan Geng
wiley   +1 more source

Ground state sign-changing solution for a logarithmic Kirchhoff-type equation in $\mathbb{R}^{3}$

Electronic Journal of Qualitative Theory of Differential Equations
We investigate the following logarithmic Kirchhoff-type equation: \begin{equation*} \left(a+b\int_{\mathbb{R}^{3}}|\nabla u|^{2}+V(x)u^{2}dx\right)[-\Delta u+V(x)u]=|u|^{p-2}u\ln |u|,\qquad x\in\mathbb{R}^{3}, \end{equation*} where $a,b>0$ are constants,
Wei-Long Yang, Jia-Feng Liao
doaj   +1 more source